A Study on Methods For Estimation And Modelling of Piezo-Electric Load and Matching Circuit

A piezoelectric load has complex impedance characteristics and exhibits different impedance at different frequencies. This property of the material makes the mathematical modelling of it a complex procedure that should be approached meticulously. To estimate piezoelectric transducer impedance characteristics, which may be represented using an electrical equivalent circuit. Two different modelling approaches are compared with the original load response. The model, having more proximity with the generally original circuit response for the most part, is taken for study and further optimized with the help of numerical iterative methods so that a near-perfect model of the load can be used. The model is refined and improved using numerical iterative methods to accurately represent the load’s behavior using the Levenberg-Marquardt and Trust-Region-Reflective numerical algorithms for this optimization. Additionally, designing a matching circuit for the piezoelectric load, focusing on maximizing power transfer and filter applications, is discussed.